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Finding the Fourth Proportional to 7,114.80, 9,820.14 and 4,132.80

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Solution

The fourth proportional to 7,114.80, 9,820.14 and 4,132.80 is: 5,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.80 : 9,820.14 = 4,132.80 : x
  2. Step 2: Convert to fraction form
    7,114.80/9,820.14 = 4,132.80/x
  3. Step 3: Cross multiply
    7,114.80x = 9,820.14 × 4,132.80
  4. Step 4: Simplify right side
    7,114.80x = 40,584,674.59
  5. Step 5: Solve for x
    x = 40,584,674.59/7,114.80
  6. Step 6: Final answer
    x = 5,704.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.